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Finding the Fourth Proportional to 13,520.75, 18,658.59 and 7,552.42

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Solution

The fourth proportional to 13,520.75, 18,658.59 and 7,552.42 is: 10,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520.75 : 18,658.59 = 7,552.42 : x
  2. Step 2: Convert to fraction form
    13,520.75/18,658.59 = 7,552.42/x
  3. Step 3: Cross multiply
    13,520.75x = 18,658.59 × 7,552.42
  4. Step 4: Simplify right side
    13,520.75x = 140,917,508.29
  5. Step 5: Solve for x
    x = 140,917,508.29/13,520.75
  6. Step 6: Final answer
    x = 10,422.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.